Properties

Label 388815.y
Number of curves $1$
Conductor $388815$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 388815.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
388815.y1 388815y1 \([1, 1, 1, -33218060, -74139298360]\) \(-156384878308301503451521/1072349646326296875\) \(-27796375182423941296875\) \([]\) \(38085120\) \(3.1409\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 388815.y1 has rank \(0\).

Complex multiplication

The elliptic curves in class 388815.y do not have complex multiplication.

Modular form 388815.2.a.y

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} - q^{4} + q^{5} + q^{6} + 3 q^{8} + q^{9} - q^{10} + 2 q^{11} + q^{12} - 2 q^{13} - q^{15} - q^{16} - 8 q^{17} - q^{18} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display